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The inclination of the line x – y + 3 = 0 with the positive direction of x-axis is ______. - Mathematics

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Question

The inclination of the line x – y + 3 = 0 with the positive direction of x-axis is ______.

Options

  • 45°

  • 135°

  • – 45°

  • –135°

MCQ
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Solution

The inclination of the line x – y + 3 = 0 with the positive direction of x-axis is 45°.

Explanation:

The equation of the line x – y + 3 = 0 can be rewritten as y = x + 3

⇒ m = tan θ = 1

Hence θ = 45°.

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Chapter 10: Straight Lines - Solved Examples [Page 174]

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NCERT Exemplar Mathematics [English] Class 11
Chapter 10 Straight Lines
Solved Examples | Q 12 | Page 174
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